Dynamics on trees of spheres

DOI10.1112/jlms.12016zbMath1372.37089arXiv1406.6347OpenAlexW3121384066MaRDI QIDQ5357339

Matthieu Arfeux

Publication date: 15 September 2017

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6347

zbMATH Keywords

moduli spacerescaling limitmarked rational map

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of trees and graphs (37E25) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (7)

On geometrically finite degenerations II: convergence and divergence ⋮ Compactification and trees of spheres covers ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Berkovich dynamics of Newton maps ⋮ Rescaling limits in non-Archimedean dynamics ⋮ Limits of rational maps, \(\mathbb{R}\)-trees and barycentric extension ⋮ Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces

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